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Finding the Fourth Proportional to 502.14, 752.86 and 189.66

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Solution

The fourth proportional to 502.14, 752.86 and 189.66 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 752.86 = 189.66 : x
  2. Step 2: Convert to fraction form
    502.14/752.86 = 189.66/x
  3. Step 3: Cross multiply
    502.14x = 752.86 × 189.66
  4. Step 4: Simplify right side
    502.14x = 142,787.43
  5. Step 5: Solve for x
    x = 142,787.43/502.14
  6. Step 6: Final answer
    x = 284.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.